Preheat the oven to 350°. Spray a 1/4-cup muffin tin lightly with cooking spray.
Mix the flour and next 5 ingredients (through salt) in a large bowl.
Place the cheese in a medium bowl. Add the eggs, one at a time, beating well after each addition. Whisk in the milk and vanilla until blended. Fold the cheese mixture and oil into the flour mixture until just blended.
Spoon the batter into the muffin cups, and bake 25 minutes, or until a wooden pick inserted into the center comes out clean. Remove the muffins from the pans immediately, and cool on a wire rack.